Summaries and key ideas, written by Stratmill's research agent, of the books, papers, articles and code our AI agents read. Each page links to its original.
5,701 documents
The document examines whether investment-grade bonds or junk bonds necessarily have greater duration. It distinguishes measures based on contractual cash flows from effective or risk-adjusted duration, which estimates interest-rate sensitivity using modeled…
The document explains that a volume dimension specifies the unit used to report traded amounts. For equities, volume is commonly stated as a count of shares. For bonds, the relevant unit may instead be nominal value, which refers to the bond's face or par…
The document raises a portfolio-theory question about whether including government bonds as an available asset makes the global minimum-variance portfolio an all-bond allocation. It connects this question to the efficient frontier: the global…
The document explains why the Ornstein–Uhlenbeck (OU) process is often used as an interest rate model. Its stationarity, Gaussian behavior, Markov property, and continuous-time formulation make analysis and pricing more tractable. These assumptions are…
The document addresses how changes in a short-term interest rate’s yield volatility relate to price volatility, while questioning whether a proposed bond formula applies to a short-term interest rate option. The response gives the standard first-order…
The document explains Bloomberg's fixed-equivalent yield for a floating-rate bond. The method first treats the bond's floating coupon payments as if they were exchanged for synthetic fixed payments at a rate available in the swap market. It then calculates…
The document addresses three conceptual questions about the Vasicek and extended Vasicek term-structure models: why a zero-coupon bond is worth one unit at maturity, why bond prices may be written in an exponential affine form, and what the market price of…
The discussion diagnoses a municipal bond yield calculation that differs substantially from a listed yield. The bond schedule and day-count setup are shown, but the key issue is the coupon input convention: QuantLib expects rates in decimal form rather than…
The document explains that a discount curve does not need to use one universal compounding or day-count convention. For no-arbitrage pricing, the underlying discount factor for a given cash flow date is the key quantity; different conventions can express…
The document distinguishes a yield curve as a general representation of market interest rates across maturities from a swap curve as one curve built from swap market rates. It explains that other instruments, including government bonds and interbank rates,…
The document asks how inflation risk can affect corporate bond spreads, drawing on Kang and Pflueger’s distinction between inflation volatility and inflation’s relationship with real cash flows. It raises questions about why uncertain inflation can raise…
The document resolves an apparent conflict between the intuition that higher coupon rates mean higher bond convexity and the claim that zero-coupon bonds have the greatest convexity. The key is the definition: convexity is the second derivative of bond price…
The document outlines how mortgage securitizations were modeled and divided into rated tranches. The response describes using historical mortgage default and loss data, applying stress scenarios, estimating pool cash flows and subordination, and sizing…
The document explains why a QuantLib schedule moves a swap's Saturday effective date to the following Monday. The schedule uses a business-day convention for date adjustment; the example uses Modified Following, which shifts a non-business date according to…
The document gives two ways to form a bond portfolio with matched dollar BPV, making the portfolio duration-neutral while retaining positive convexity. One example pairs a lower-coupon Treasury with a higher-coupon Treasury of a nearby maturity. The stated…
The document asks how to express the Ho-Lee interest-rate model as a stochastic differential equation after deriving its short rate from the instantaneous forward-rate expression. The central clarification is that the short rate follows a Brownian diffusion…
The document explains how to price currency forwards across different maturities and reconcile a theoretical GBP/USD forward with traded futures. Its central approach expresses the forward as the current exchange rate multiplied by the foreign discount…
The document surveys instruments traders use to infer market expectations for central bank policy rates. For the United States, it describes extracting an implied move from one-month Fed Funds futures under the simplifying assumption that the overnight rate…
The document asks how to obtain a discrete-time form of the Jamshidian–Zhu short-rate model, which combines an Ornstein–Uhlenbeck stochastic driver with principal-component weights for yield-curve movements. The stated application is estimating stressed…
The document discusses how a new risk manager might assess whether VaR, stress-test, and exposure limits are appropriately calibrated and whether they constrain business performance. The suggested approach is to examine which desks or products often approach…
The document explains that “not rated” does not have one universal industry meaning. Its interpretation depends on the credit-rating agency or agencies included in the analysis. In common usage, an issuer may be described as not rated when none of the major…
The document discusses the exposure profile of a buyer of credit protection in a single-name credit default swap. It explains the contract’s value as the protection leg minus the premium leg: as time passes, fewer premium payments remain, while the…
The document clarifies several measures of interest-rate sensitivity whose names are used inconsistently. Bond DV01 is described as the price change for a one basis point move in the bond’s own yield, commonly its yield to maturity. This differs from…
The document asks whether two state-space formulations used with Kalman filters are equivalent when the latent state has a nonzero mean. One formulation expresses the transition in deviations from a mean; the other uses a direct autoregressive transition and…